Cremona's table of elliptic curves

1925 = 5² · 7 · 11

Field	Data	Notes
Atkin-Lehner	5- 7+ 11-	Signs for the Atkin-Lehner involutions
Class	1925h	Isogeny class
Conductor	1925	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	416	Modular degree for the optimal curve
Δ	-3301375 = -1 · 53 · 74 · 11	Discriminant
Eigenvalues	1  2 5- 7+ 11- -6 -6  0	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-80,-325]	[a1,a2,a3,a4,a6]
Generators	[2260:12055:64]	Generators of the group modulo torsion
j	-461889917/26411	j-invariant
L	4.5116049503594	L(r)(E,1)/r!
Ω	0.79424352231774	Real period
R	5.6803799131955	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	30800cu1 123200cr1 17325bk1 1925m1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1925h1

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
1	2	-	+	-	-6	-6	0	6	-6	0	4	-6	-8	-10	4	12	-10	-2	8	2	8	0	-6	0

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Quadratic twists for elliptic curve 1925h1

-4	8	-3	5	-7	-11
30800cu1	123200cr1	17325bk1	1925m1	13475s1	21175bl1

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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